If you shift battery size to 16340, which has the same capacity at the 14500, the Olight s1, or the mini will fit the bill of what your looking for. Press and hold, the light will come on in a low mode. 1 click for high, or 2 clicks from off to turbo. You can do the same thing with the s1A, which is AA, or 14500, but it is considerable larger.

I can’t find anything. There’s a group buy for the Utorch UT01 open until Dec 15. Similar to the E11 but I am not sure if it takes protected cells, there’s a chance it may.http://budgetlightforum.com/node/50900

The Jet-1 MK has mode memory so if you leave in the low mode it will re-start there every time… that’s the closest I can find.